P
US7493050B2ExpiredUtilityPatentIndex 50

Optical communication system having an antiresonant dispersion map suppressing four wave mixing and cross phase modulation

Assignee: RED SKY SUBSEA LTDPriority: Aug 20, 2002Filed: Jun 3, 2003Granted: Feb 17, 2009
Est. expiryAug 20, 2022(expired)· nominal 20-yr term from priority
Inventors:EVANGELIDES JR STEPHEN G
H04B 10/2563H04B 10/2557
50
PatentIndex Score
2
Cited by
11
References
19
Claims

Abstract

An optical communication system transmitting a plurality of channel wavelengths is provided. The system includes a transmitter unit, a receiver unit, and an optical transmission path interconnecting the transmitter and receiver units. The transmission path has a concatonation of optical fibers defining a dispersion map such that each of the channel wavelengths are located at FMX and XPM antiresonances at which FWM and XPM are suppressed.

Claims

exact text as granted — not AI-modified
1. An optical communication system transmitting a plurality of channel wave lengths, said system comprising:
 a transmitter unit; 
 a receiver unit; 
 an optical transmission path interconnecting the transmitter and receiver units, said transmission path having a concatenation of optical fibers defining a dispersion map having a period and amplifier spacing selected such that both η XPM  and η FWM  are simultaneously minimized at a selected channel separation, wherein η XPM  and η FWM  are cross phase modulation efficiency and four wave mixing efficiency respectively, wherein cross phase modulation efficiency is computed from 
 
     
       
         
           
             
               η 
               XPM 
             
             = 
             
               
                 
                   a 
                   2 
                 
                 
                   
                     
                       
                         Ω 
                         m 
                         2 
                       
                       ⁡ 
                       
                         ( 
                         
                           D 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           Δ 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           λ 
                         
                         ) 
                       
                     
                     2 
                   
                   + 
                   
                     a 
                     2 
                   
                 
               
               ⁡ 
               
                 [ 
                 
                   1 
                   + 
                   
                     
                       4 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         
                           sin 
                           2 
                         
                         ⁡ 
                         
                           ( 
                           
                             Ω 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             D 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             Δ 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             λ 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               L 
                               / 
                               2 
                             
                           
                           ) 
                         
                       
                       ⁢ 
                       
                         ⅇ 
                         
                           - 
                           aL 
                         
                       
                     
                     
                       
                         ( 
                         
                           1 
                           - 
                           
                             ⅇ 
                             
                               - 
                               aL 
                             
                           
                         
                         ) 
                       
                       2 
                     
                   
                 
                 ] 
               
             
           
         
       
       and wherein four wave mixing efficiency is computed by 
     
     
       
         
           
             η 
             = 
             
               
                 
                   
                     a 
                     2 
                   
                   
                     
                       N 
                       2 
                     
                     ⁡ 
                     
                       ( 
                       
                         
                           a 
                           2 
                         
                         + 
                         
                           Δ 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             β 
                             2 
                           
                         
                       
                       ) 
                     
                   
                 
                 ⁡ 
                 
                   [ 
                   
                     1 
                     + 
                     
                       
                         4 
                         ⁢ 
                         
                           ⅇ 
                           
                             
                               - 
                               a 
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               1 
                               amp 
                             
                           
                         
                         ⁢ 
                         
                           
                             sin 
                             2 
                           
                           ⁡ 
                           
                             ( 
                             
                               Δ 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               β 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               
                                 
                                   l 
                                   amp 
                                 
                                 / 
                                 2 
                               
                             
                             ) 
                           
                         
                       
                       
                         
                           [ 
                           
                             1 
                             - 
                             
                               ⅇ 
                               
                                 - 
                                 
                                   al 
                                   amp 
                                 
                               
                             
                           
                           ] 
                         
                         2 
                       
                     
                   
                   ] 
                 
               
               ⁢ 
               
                 
                   
                     
                       sin 
                       2 
                     
                     ⁡ 
                     
                       ( 
                       
                         N 
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         Δ 
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         β 
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         
                           
                             l 
                             amp 
                           
                           / 
                           2 
                         
                       
                       ) 
                     
                   
                   
                     
                       sin 
                       2 
                     
                     ( 
                     
                         
                     
                     ⁢ 
                     
                       Δ 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       β 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         
                           l 
                           amp 
                         
                         / 
                         2 
                       
                     
                     ) 
                   
                 
                 . 
               
             
           
         
       
     
   
   
     2. The optical communication system of  claim 1  further comprising a plurality of optical amplifiers periodically located along said optical transmission path. 
   
   
     3. The optical communication system of  claim 2  wherein said dispersion map has a period substantially equal to the periodicity of the optical amplifiers. 
   
   
     4. The optical communication system of  claim 3  wherein each period of the dispersion map comprises at least a plurality of constituent fiber having different dispersion values. 
   
   
     5. The optical communication system of  claim 3  wherein each period of the dispersion map has a path average dispersion about equal to zero. 
   
   
     6. The optical communication system of  claim 2  wherein said dispersion map has a period less than the periodicity of the optical amplifiers. 
   
   
     7. The optical communication system of  claim 6  wherein each period of the dispersion map comprises at least a plurality of constituent optical fibers with different cross-sectional areas. 
   
   
     8. The optical communication system of  claim 2  wherein each period of the dispersion map comprises at least a plurality of constituent optical fibers with different cross-sectional areas. 
   
   
     9. The optical communication system of  claim 1  wherein each period of the dispersion map comprises at least a plurality of constituent fiber having different dispersion values. 
   
   
     10. The optical communication system of  claim 1  wherein each period of the dispersion map comprises at least a plurality of constituent optical fibers with different cross-sectional areas. 
   
   
     11. The optical communication system of  claim 1  wherein each period of the dispersion map has a path average dispersion about equal to zero. 
   
   
     12. A method of establishing a dispersion map for an optical transmission system transmitting a plurality of channel wavelengths, said optical transmission system having an optical transmission path that includes a plurality of optical amplifiers interconnected by respective transmission spans, said method comprising the steps of:
 selecting a period for the dispersions map; and 
 based on the selected dispersion map period and a channel spacing between adjacent ones of the channel wavelengths, selecting a plurality of different dispersion values for each period of the dispersion map, the dispersion map having a period and amplifier spacing selected such that both η XPM  and η FWM  are simultaneously minimized at a selected channel separation, wherein η XPM  and η FWM  are cross phase modulation efficiency and four wave mixing efficiency respectively, wherein cross phase modulation efficiency is computed from 
 
     
       
         
           
             
               η 
               XPM 
             
             = 
             
               
                 
                   a 
                   2 
                 
                 
                   
                     
                       
                         Ω 
                         m 
                         2 
                       
                       ⁡ 
                       
                         ( 
                         
                           D 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           Δ 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           λ 
                         
                         ) 
                       
                     
                     2 
                   
                   + 
                   
                     a 
                     2 
                   
                 
               
               ⁡ 
               
                 [ 
                 
                   1 
                   + 
                   
                     
                       4 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         
                           sin 
                           2 
                         
                         ⁡ 
                         
                           ( 
                           
                             Ω 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             D 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             Δ 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             λ 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               L 
                               / 
                               2 
                             
                           
                           ) 
                         
                       
                       ⁢ 
                       
                         ⅇ 
                         
                           - 
                           aL 
                         
                       
                     
                     
                       
                         ( 
                         
                           1 
                           - 
                           
                             ⅇ 
                             
                               - 
                               aL 
                             
                           
                         
                         ) 
                       
                       2 
                     
                   
                 
                 ] 
               
             
           
         
       
        and wherein four wave mixing efficiency is computed by 
     
     
       
         
           
             η 
             = 
             
               
                 
                   
                     a 
                     2 
                   
                   
                     
                       N 
                       2 
                     
                     ⁡ 
                     
                       ( 
                       
                         
                           a 
                           2 
                         
                         + 
                         
                           Δ 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             β 
                             2 
                           
                         
                       
                       ) 
                     
                   
                 
                 ⁡ 
                 
                   [ 
                   
                     1 
                     + 
                     
                       
                         4 
                         ⁢ 
                         
                           ⅇ 
                           
                             
                               - 
                               a 
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               1 
                               amp 
                             
                           
                         
                         ⁢ 
                         
                           
                             sin 
                             2 
                           
                           ⁡ 
                           
                             ( 
                             
                               Δ 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               β 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               
                                 
                                   l 
                                   amp 
                                 
                                 / 
                                 2 
                               
                             
                             ) 
                           
                         
                       
                       
                         
                           [ 
                           
                             1 
                             - 
                             
                               ⅇ 
                               
                                 - 
                                 
                                   al 
                                   amp 
                                 
                               
                             
                           
                           ] 
                         
                         2 
                       
                     
                   
                   ] 
                 
               
               ⁢ 
               
                 
                   
                     
                       sin 
                       2 
                     
                     ⁡ 
                     
                       ( 
                       
                         N 
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         Δ 
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         β 
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         
                           
                             l 
                             amp 
                           
                           / 
                           2 
                         
                       
                       ) 
                     
                   
                   
                     
                       sin 
                       2 
                     
                     ( 
                     
                         
                     
                     ⁢ 
                     
                       Δ 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       β 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         
                           l 
                           amp 
                         
                         / 
                         2 
                       
                     
                     ) 
                   
                 
                 . 
               
             
           
         
       
     
   
   
     13. The method of  claim 12  wherein said dispersion map has a period substantially equal to the periodicity of the optical amplifiers. 
   
   
     14. The method of  claim 13  wherein each period of the dispersion map comprises at least a plurality of constituent fiber having different dispersion values. 
   
   
     15. The method of  claim 12  wherein each period of the dispersion map comprises at least a plurality of constituent fiber having different dispersion values. 
   
   
     16. The method of  claim 12  wherein said dispersion map has a period less than the periodicity of the optical amplifiers. 
   
   
     17. The method of  claim 16  wherein each period of the dispersion map comprises at least a plurality of constituent optical fibers with different cross-sectional areas. 
   
   
     18. The method of  claim 12  wherein each period of the dispersion map comprises at least a plurality of constituent optical fibers with different cross-sectional areas. 
   
   
     19. The method of  claim 12  wherein each period of the dispersion map has a path average dispersion about equal to zero.

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